Information on Result #731774
Linear OA(7100, 107, F7, 75) (dual of [107, 7, 76]-code), using juxtaposition based on
- linear OA(743, 50, F7, 34) (dual of [50, 7, 35]-code), using
- construction X applied to C([0,67]) ⊂ C([0,65]) [i] based on
- linear OA(743, 48, F7, 34) (dual of [48, 5, 35]-code), using contraction [i] based on linear OA(791, 96, F7, 69) (dual of [96, 5, 70]-code), using the expurgated narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [0,67], and minimum distance d ≥ |{−1,0,…,67}|+1 = 70 (BCH-bound) [i]
- linear OA(741, 48, F7, 33) (dual of [48, 7, 34]-code), using contraction [i] based on linear OA(789, 96, F7, 67) (dual of [96, 7, 68]-code), using the expurgated narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [0,65], and minimum distance d ≥ |{−1,0,…,65}|+1 = 68 (BCH-bound) [i]
- linear OA(70, 2, F7, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to C([0,67]) ⊂ C([0,65]) [i] based on
- linear OA(750, 57, F7, 40) (dual of [57, 7, 41]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 57 | 73−1, defining interval I = [0,29], and minimum distance d ≥ |{−10,−9,…,29}|+1 = 41 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.